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Finding the Fourth Proportional to 596.07, 894.32 and 266.98

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Solution

The fourth proportional to 596.07, 894.32 and 266.98 is: 400.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.07 : 894.32 = 266.98 : x
  2. Step 2: Convert to fraction form
    596.07/894.32 = 266.98/x
  3. Step 3: Cross multiply
    596.07x = 894.32 × 266.98
  4. Step 4: Simplify right side
    596.07x = 238,765.55
  5. Step 5: Solve for x
    x = 238,765.55/596.07
  6. Step 6: Final answer
    x = 400.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.